Michelle bought a dress that costs $103.00, a pair of shoes that costs $73.00 and a bag that costs $111.00. There is a 7% sales tax on all items priced at $90.00 and higher. There is no sales tax on items under $90.00. How much did Michelle spend on the following items, including tax ?

(A) $287.00 (B) 266.00 (C) 295.47

(D) 300.60 (E) $301.98

Solution :

Michelle bought three items.

A dress costs = $103.00

A pair of shoes costs = $73.00

A bag costs = $111.00

The cost of dress and bag are more than $90. So, we have to pay sales tax for those items.

Sales tax = 7%

107% of cost of dress = 1.07 (103.00) = 110.21

107% of cost of bag = 1.07(111.00) = 118.77

cost of shoes = 73

Total cost = 110.21 + 118.77 + 73

= 301.98

Question 3 :

How many terms are in the sequence

0, 3, 6.............57, 60 ?

(A) 20 (B) 21 (C) 23 (D) 30 (E) 60

Solution :

a = 0, d = 3 - 0 ==> 3 and l = 60

Total number of terms :

n = [(l - a)/d] + 1

n = [(60 - 0)/3] + 1

n = (60/3) + 1

n = 20 + 1

n = 21

Question 4 :

The larger of two consecutive even integers is two times the smaller. What is their sum ?

(A) 2 (B) 3 (C) 4 (D) 6 (E) 8

Solution :

Let "x" be a even number

Consecutive even number = x + 2

x + 2 = 2x

2x - x = 2

x = 2

So, the two even numbers are 2 and 4.

Their sum = 2 + 4 = 6

Question 5 :

3x = 27 a+b and (a2 - b2) /(a-b) = 5, what is x ?

(A) 6 (B) 9 (C) 12 (D) 15 (E) 27

Solution :

First, let us simplify (a2 - b2) / (a-b)

5 = [(a + b) (a -b)] / (a - b)

5 = (a + b)

So, the value of a + b is 5.

3x = 275

3x = (33)5

3x = 315

Hence the value of x is 15.

Question 6 :

In Mr.Farmer's class there are 30 kids. If there are twice as many boys as there are girls in the English club, then what percentage of the English club are boys ?